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3 years ago

colleen rolls a number cube and flips a coin. What is the probabilty that she will roll at least a 3 or flip heads

1 answer:

6 0

The probability of her rolling at least a 3 and flipping heads is 4/12 or 33 1/3 %.

4/6 * 1/2 = 4/12= 1/3 =0.3333333 = 33 1/3% or 33.33333%

I hope this helps!!

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Three persons EB and C work together on a job and finish it finish it in 18 days if E and be working together can finish the job

nikitadnepr [17]

Answer: 30 days

<u>Step-by-step explanation:</u>

Working together, E & B get 1/45 of the job done per day

Working alone, C gets 1/x of the job done per day

Working together, E, B, & C get 1/18 of the job done per day.

$EB:\dfrac{1}{45}\qquad C: \dfrac{1}{x}\qquad EBC:\dfrac{1}{18}\\\\\\\\EB+C=EBC\\\\ \dfrac{1}{45}\ +\dfrac{1}{x}=\dfrac{1}{18}\\\\\\(45\cdot 18\cdot x)\bigg(\dfrac{1}{45}+\dfrac{1}{x}=\dfrac{1}{18}\bigg)\\\\\\.\qquad \qquad 18x+810=45x\\\\.\qquad \qquad \qquad 810=27x\\\\.\qquad\qquad \qquad \large\boxed{30=x}$

7 0

3 years ago

Tan80+tan70/1-tan80tan70

poizon [28]

We have the formula tan(a+b)= (tana+tanb): (1-tana x tanb)
And now we have a=80, b=70 and
(tan80+tan70): (1-tan80 x tan70)= tan(80+70)= tan150
If you write 70 for 70°, we have tan150°=1/√3
Merry Christmas

4 0

3 years ago

Which value of b would make 16x²-bx + 25 a perfect square trinomial?

blondinia [14]

Answer:

b = 40 and -40

Step-by-step explanation:

General form of Perfect square trinomial is a 2 + 2 a b + b 2

Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40

The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .

if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40

The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .

The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .

8 0

3 years ago

What are the coordinates of the end point? Please help

aleksklad [387]

Answer:

1, -16

Step-by-step explanation:

-5+6=1

-3-13=-16

(1, -16)

8 0

3 years ago

4/9 + 9/18. Please help me as soon as possible, it's due today.

Alik [6]

Answer:

$\frac{17}{18}$

Step-by-step explanation:

To solve 4/9 + 9/18 just find the common denominator which is 18.

to get 4/9 to get the denominator of 18 you multiply the denominator by 2:

9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.

Now, add the numerator and keep the denominator the same. 8 + 9 = 17.

8/18 + 9/18 = 17/18

5 0

3 years ago